Question

10. Point W bisects segment UV. Find UV if WV = 11% inches.​

Answer 1

The segment UV = 22 1/4 inches, using the segment addition postulate.

According to the segment addition postulate, a third point B will only be located on the line segment AC if and only if the equation AB + BC = AC is true for a line segment with two endpoints, A and C.

In the question, we are given that point W bisects segment UV.

We are asked to find UV if WV = 11 1/8 inches.

For the segment UV, if point W bisects it, then point W is on the segment, and by the segment addition postulate, we can write that UW + WV = UV.

Now, as we are given that W bisects UV, we can conclude that UW will be equal to WV.

Thus, we can write that UW = WV = 11 1/8 inches.

Substituting the values of UW and WV in the equation UW + WV = UV, we get:

11 1/8 + 11 1/8 = UV,

or, UV = 11 1/8 + 11 1/8,

or, UV = 89/8 + 89/8,

or, UV = 178/8,

or, UV = 89/4,

or, UV = 22 1/4.

Thus, the segment UV = 22 1/4 inches, using the segment addition postulate.

Learn more about the segment addition postulate at

brainly.com/question/2134445

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